Geometric parameter design and contact characteristics of beveloid gear and involute cylindrical gear transmission with crossed axes

Based on differential geometry and gear meshing theory, a meshing model of working pitch cone and pitch cylinder of crossed beveloid gear and involute cylindrical gear transmission was established for geometric parameter design. The mounting parameters of gear pair were derived, with the addition of tooth surface equation of beveloid gear and involute cylindrical gear obtained by hobbing process, tooth contact analysis (TCA) was performed. The changes of contact trace, contact ellipse and principal curvature of gear pair under different geometric parameters were investigated, then the accuracy of results was verified by loaded tooth contact analysis (LTCA). The results show that the contact region of gear pair is significantly influenced by shaft angle and cone angle of beveloid gear. The principal curvature at contact points of the gear pair is relatively sensitive to the cone angle of beveloid gear. Moreover, the length of contact trace is strongly influenced by geometric parameters.